100416404632 has 128 divisors (see below), whose sum is σ = 207698515200. Its totient is φ = 45346549248.

The previous prime is 100416404573. The next prime is 100416404633. The reversal of 100416404632 is 236404614001.

It is a junction number, because it is equal to n+sod(n) for n = 100416404594 and 100416404603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100416404633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78633978 + ... + 78635254.

It is an arithmetic number, because the mean of its divisors is an integer number (1622644650).

Almost surely, 2^100416404632 is an apocalyptic number.

It is an amenable number.

100416404632 is an abundant number, since it is smaller than the sum of its proper divisors (107282110568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100416404632 is a wasteful number, since it uses less digits than its factorization.

100416404632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 100416404632 in words is "one hundred billion, four hundred sixteen million, four hundred four thousand, six hundred thirty-two".